TSTP Solution File: SYN095-1.002 by Beagle---0.9.51

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN095-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 11:09:36 EDT 2023

% Result   : Unsatisfiable 2.55s 1.62s
% Output   : CNFRefutation 2.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   18 (   8 unt;   7 typ;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   9   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    5 (;   5   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ q_2_2 > q_1_2 > q_1_1 > p_2_2 > p_1_2 > p_1_1 > #nlpp > a

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(p_2_2,type,
    p_2_2: $i > $o ).

tff(a,type,
    a: $i ).

tff(p_1_2,type,
    p_1_2: $i > $o ).

tff(p_1_1,type,
    p_1_1: $i > $o ).

tff(q_2_2,type,
    q_2_2: $i > $o ).

tff(q_1_2,type,
    q_1_2: $i > $o ).

tff(q_1_1,type,
    q_1_1: $i > $o ).

tff(f_80,axiom,
    p_1_1(a),
    file(unknown,unknown) ).

tff(f_82,axiom,
    p_2_2(a),
    file(unknown,unknown) ).

tff(f_27,axiom,
    ! [X] : ~ p_1_2(X),
    file(unknown,unknown) ).

tff(f_35,axiom,
    ! [X] :
      ( p_1_2(X)
      | ~ p_2_2(X)
      | ~ p_1_1(X) ),
    file(unknown,unknown) ).

tff(c_20,plain,
    p_1_1(a),
    inference(cnfTransformation,[status(thm)],[f_80]) ).

tff(c_24,plain,
    p_2_2(a),
    inference(cnfTransformation,[status(thm)],[f_82]) ).

tff(c_2,plain,
    ! [X_1] : ~ p_1_2(X_1),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_4,plain,
    ! [X_2] :
      ( ~ p_1_1(X_2)
      | ~ p_2_2(X_2)
      | p_1_2(X_2) ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_30,plain,
    ! [X_11] :
      ( ~ p_1_1(X_11)
      | ~ p_2_2(X_11) ),
    inference(negUnitSimplification,[status(thm)],[c_2,c_4]) ).

tff(c_33,plain,
    ~ p_1_1(a),
    inference(resolution,[status(thm)],[c_24,c_30]) ).

tff(c_37,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_20,c_33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN095-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.37  % Computer : n017.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 300
% 0.14/0.37  % DateTime : Thu Aug  3 16:57:21 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 2.55/1.62  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.55/1.62  
% 2.55/1.62  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.66/1.65  
% 2.66/1.65  Inference rules
% 2.66/1.65  ----------------------
% 2.66/1.65  #Ref     : 0
% 2.66/1.65  #Sup     : 1
% 2.66/1.65  #Fact    : 0
% 2.66/1.65  #Define  : 0
% 2.66/1.65  #Split   : 0
% 2.66/1.65  #Chain   : 0
% 2.66/1.65  #Close   : 0
% 2.66/1.65  
% 2.66/1.65  Ordering : KBO
% 2.66/1.65  
% 2.66/1.65  Simplification rules
% 2.66/1.65  ----------------------
% 2.66/1.65  #Subsume      : 2
% 2.66/1.65  #Demod        : 1
% 2.66/1.65  #Tautology    : 0
% 2.66/1.65  #SimpNegUnit  : 2
% 2.66/1.65  #BackRed      : 0
% 2.66/1.65  
% 2.66/1.65  #Partial instantiations: 0
% 2.66/1.65  #Strategies tried      : 1
% 2.66/1.65  
% 2.66/1.65  Timing (in seconds)
% 2.66/1.65  ----------------------
% 2.66/1.65  Preprocessing        : 0.41
% 2.66/1.65  Parsing              : 0.22
% 2.66/1.65  CNF conversion       : 0.02
% 2.66/1.65  Main loop            : 0.16
% 2.66/1.65  Inferencing          : 0.07
% 2.66/1.65  Reduction            : 0.04
% 2.66/1.65  Demodulation         : 0.03
% 2.66/1.65  BG Simplification    : 0.02
% 2.66/1.65  Subsumption          : 0.04
% 2.66/1.65  Abstraction          : 0.01
% 2.66/1.65  MUC search           : 0.00
% 2.66/1.65  Cooper               : 0.00
% 2.66/1.65  Total                : 0.61
% 2.66/1.65  Index Insertion      : 0.00
% 2.66/1.65  Index Deletion       : 0.00
% 2.66/1.65  Index Matching       : 0.00
% 2.66/1.65  BG Taut test         : 0.00
%------------------------------------------------------------------------------